Question

Getting $p_y(y) = p_x(g^{-1}(y)) \left| \frac{\partial{x}}{\partial{y}} \right|$ by solving $| p_y(g(x)) \ dy | = | p_x (x) \ dx |$?

score 245 · Answer 1 · 2026-04-14 20:27:17

245

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Getting $p_y(y) = p_x(g^{-1}(y)) \left| \frac{\partial{x}}{\partial{y}} \right|$ by solving $| p_y(g(x)) \ dy | = | p_x (x) \ dx |$?

Published on 14 Apr 2026 - 20:27

score 63 · Answer 2 · 2026-04-14 21:02:52

63

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If $T:[0,1] \rightarrow [0,1]$ preserves Lebesgue, then $\liminf_n(n|T^n(x)-x|) \leq 1$

Published on 14 Apr 2026 - 21:02

score 88 · Answer 3 · 2026-04-08 17:17:27

88

Views

Measure Theory - Joint Probability Distribution as Measure

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score 159 · Answer 4 · 2026-04-11 23:09:45

159

Views

What's the transition semigroup of the Markov chain generated by the Metropolis-Hastings algorithm?

Published on 11 Apr 2026 - 23:09

score 108 · Answer 5 · 2026-04-13 09:08:45

108

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Why is Derivative of a Radon measure measurable

Published on 13 Apr 2026 - 9:08

score 593 · Answer 6 · 2026-04-20 16:28:21

593

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Published on 20 Apr 2026 - 16:28

score 56 · Answer 7 · 2026-04-16 00:03:35

56

Views

Dropping empty sets from a collection of sets.

Published on 16 Apr 2026 - 0:03

score 1k · Answer 8 · 2026-04-13 13:03:23

1k

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$\{f_n\}$ absolutely continuous converging pointwise to $f$. Is $f$ of bounded variation and/or absolutely continuous?

Published on 13 Apr 2026 - 13:03

score 45 · Answer 9 · 2026-04-13 14:27:15

45

Views

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Published on 13 Apr 2026 - 14:27

score 154 · Answer 10 · 2026-04-16 04:36:12

154

Views

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score 456 · Answer 11 · 2026-04-12 03:21:27

456

Views

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Published on 12 Apr 2026 - 3:21

score 221 · Answer 12 · 2026-04-15 07:27:23

221

Views

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Published on 15 Apr 2026 - 7:27

score 2.9k · Answer 13 · 2026-04-15 10:04:08

2.9k

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Show that if $A \subset B$ then $\sigma(A) \subset \sigma$ (B)

Published on 15 Apr 2026 - 10:04

score 106 · Answer 14 · 2026-04-16 10:13:42

Let $X=\mathbb{N}$ and $\mathcal{A}$ be the $\sigma-$algebra of all subsets of $\mathbb{N}$. If $(a_n)$ is a sequence of nonnegative

score 135 · Answer 15 · 2026-04-12 13:06:25

135

Views

Divergent Countable Sum from Uncountable Sum

Published on 12 Apr 2026 - 13:06

List Question

Getting $p_y(y) = p_x(g^{-1}(y)) \left| \frac{\partial{x}}{\partial{y}} \right|$ by solving $| p_y(g(x)) \ dy | = | p_x (x) \ dx |$?

If $T:[0,1] \rightarrow [0,1]$ preserves Lebesgue, then $\liminf_n(n|T^n(x)-x|) \leq 1$

Measure Theory - Joint Probability Distribution as Measure

What's the transition semigroup of the Markov chain generated by the Metropolis-Hastings algorithm?

Why is Derivative of a Radon measure measurable

Is this operator on $L^\infty$ injective / surjective?

Dropping empty sets from a collection of sets.

$\{f_n\}$ absolutely continuous converging pointwise to $f$. Is $f$ of bounded variation and/or absolutely continuous?

A question on measurable functions on the interval [0,1]

Inequality containing the Lebesgue measure

Is every positive $\sigma$-finite Borel measure on $\mathbb{R}^n$ finite on compact sets?

Open cube containing closed cube but with less volume in $\mathbb{R}^d$

Show that if $A \subset B$ then $\sigma(A) \subset \sigma$ (B)

Let $X=\mathbb{N}$ and $\mathcal{A}$ be the $\sigma-$algebra of all subsets of $\mathbb{N}$. If $(a_n)$ is a sequence of nonnegative

Divergent Countable Sum from Uncountable Sum

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